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4095442944 = 215341543
BaseRepresentation
bin1111010000011011…
…1000000000000000
3101120102022001120000
43310012320000000
531341413133234
61514215320000
7203326455615
oct36406700000
911512261500
104095442944
11181185299a
12963680000
1350362ac28
142abcba50c
1518e829899
hexf41b8000

4095442944 has 160 divisors (see below), whose sum is σ = 12243510840. Its totient is φ = 1364262912.

The previous prime is 4095442943. The next prime is 4095442979. The reversal of 4095442944 is 4492445904.

4095442944 is a `hidden beast` number, since 40 + 9 + 544 + 29 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4095442944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4095442943) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2653437 + ... + 2654979.

Almost surely, 24095442944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4095442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121755420).

4095442944 is an abundant number, since it is smaller than the sum of its proper divisors (8148067896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4095442944 is an frugal number, since it uses more digits than its factorization.

4095442944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4095442944 is about 63995.6478520219. The cubic root of 4095442944 is about 1599.9274633782.

The spelling of 4095442944 in words is "four billion, ninety-five million, four hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1543 1728 2048 2304 2592 3072 3086 3456 4096 4608 4629 5184 6144 6172 6912 8192 9216 9258 10368 12288 12344 13824 13887 16384 18432 18516 20736 24576 24688 27648 27774 32768 36864 37032 41472 41661 49152 49376 55296 55548 73728 74064 82944 83322 98304 98752 110592 111096 124983 147456 148128 165888 166644 197504 221184 222192 249966 294912 296256 331776 333288 395008 442368 444384 499932 592512 663552 666576 790016 884736 888768 999864 1185024 1327104 1333152 1580032 1777536 1999728 2370048 2654208 2666304 3160064 3555072 3999456 4740096 5332608 6320128 7110144 7998912 9480192 10665216 12640256 14220288 15997824 18960384 21330432 25280512 28440576 31995648 37920768 42660864 50561024 56881152 63991296 75841536 85321728 113762304 127982592 151683072 170643456 227524608 255965184 341286912 455049216 511930368 682573824 1023860736 1365147648 2047721472 4095442944